The accident happened near 73-year-old singer's California home on Sunday in Santa Ynez Valley, reported Us magazine.
The jogger suffered multiple fractures and was airlifted to nearby Santa Barbara Cottage Hospital.
The victim's injuries were not life-threatening and Crosby stopped his car to aid the victim.
"David Crosby is obviously very upset that he accidentally hit anyone. And, based off of initial reports, he is relieved that the injuries to the gentleman were not life threatening. He wishes the jogger a very speedy recovery," his representative said in a statement.
Clotworthy also stated that the jogger was on the same side of the road as Crosby. Pedestrians, including joggers, are supposed to be on the left side of the road going towards traffic.